The analysis of a multiserver queue fed by a discrete autoregressive process of order 1

DOI10.1016/S0167-6377(03)00068-3zbMath1061.90030OpenAlexW2020148074MaRDI QIDQ1433668

Bara Kim, Gang Uk Hwang, Bong Dae Choi, Jae-kyoon Kim

Publication date: 1 July 2004

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6377(03)00068-3

zbMATH Keywords

Performance analysisMultiserver queueMatrix analytic methodsDAR(1)Markov regenerative theoryMultiserver ATM multiplexerTeleconference traffic

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)

Related Items (10)

ON THE VARIANCES OF SYSTEM SIZE AND SOJOURN TIME IN A DISCRETE-TIME DAR(1)/D/1 QUEUE ⋮ Regularly varying tails in a queue with discrete autoregressive arrivals of order \(p\) ⋮ Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue ⋮ Analytic approximations of queues with lightly- and heavily-correlated autoregressive service times ⋮ Sample-path analysis of general arrival queueing systems with constant amount of work for all customers ⋮ Mean queue size in a queue with discrete autoregressive arrivals of order \(p\) ⋮ Second‐order performance analysis of discrete‐time queues fed by DAR(2) sources with a focus on the marginal effect of the additional traffic parameter ⋮ Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution ⋮ Queueing models for the analysis of communication systems ⋮ Tail behavior of the queue size and waiting time in a queue with discrete autoregressive arrivals

Cites Work

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• On the exact analysis of a discrete-time queueing system with autoregressive inputs
• The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1

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